462996864 has 256 divisors, whose sum is σ = 1571616000. Its totient is φ = 132710400.

The previous prime is 462996857. The next prime is 462996899. The reversal of 462996864 is 468699264.

462996864 is a `hidden beast` number, since 4 + 629 + 9 + 6 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 462996864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721984 + ... + 722624.

It is an arithmetic number, because the mean of its divisors is an integer number (6139125).

Almost surely, 2^462996864 is an apocalyptic number.

462996864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462996864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785808000).

462996864 is an abundant number, since it is smaller than the sum of its proper divisors (1108619136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

462996864 is a wasteful number, since it uses less digits than its factorization.

462996864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 676 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 462996864 is about 21517.3619200868. The cubic root of 462996864 is about 773.6170210356.

The spelling of 462996864 in words is "four hundred sixty-two million, nine hundred ninety-six thousand, eight hundred sixty-four".